When an external magnetic field interacts with an electric current in a conducting medium, vortex flows can occur. We consider a rotating flow in an external magnetic field at a cylindrical volume, when one of the electrodes is the bottom of the vessel, and the second electrode has small dimensions and is immersed in a conducting liquid from above. Both theoretical and experimental results were obtained: the dependence of the velocity on the radius of the upper electrode was obtained, a solution for the potential and velocity, as well as its senior mode, was analytically found.
Mikhailov et al. (Wed,) studied this question.